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Analytical Results for a Small Multiple-Layer Parking System

  • S. R. FleurkeEmail author
  • A. C. D. van Enter
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 307)

Abstract

In this article a multilayer parking system of size n = 3 is studied. We prove that the asymptotic limit of the particle density in the center approaches a maximum of 1/2 in higher layers. This means a significant increase of capacity compared to the first layer where this value is 1/3. This is remarkable because the process is solely driven by randomness. We conjecture that this result applies to all finite parking systems with n ≥ 2.

Keywords

Car parking problem Multi-layer car parking Particle deposition Random sequential adsorption 

Notes

Acknowledgement

This research was partially supported by the Radiocommunications Agency of the Netherlands.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Radiocommunications Agency NetherlandsGroningenThe Netherlands
  2. 2.Johann Bernoulli Institute for Mathematics and Computer ScienceUniversity of GroningenGroningenThe Netherlands

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